Solve for x:
9 (5-3 x) = (x+4)/2
Multiply both sides by 2:
2×9 (5-3 x) = 1 (x+4)
(2 (x+4))/2 = 2/2×(x+4) = x+4:
2×9 (5-3 x) = x+4
2×9 = 18:
18 (5-3 x) = x+4
Expand out terms of the left hand side:
90-54 x = x+4
Subtract x from both sides:
90+(-54 x-x) = (x-x)+4
-54 x-x = -55 x:
-55 x+90 = (x-x)+4
x-x = 0:
90-55 x = 4
Subtract 90 from both sides:
(90-90)-55 x = 4-90
90-90 = 0:
-55 x = 4-90
4-90 = -86:
-55 x = -86
Divide both sides of -55 x = -86 by -55:
(-55 x)/(-55) = (-86)/(-55)
(-55)/(-55) = 1:
x = (-86)/(-55)
The sign of (-86)/(-55) is positive, so (-86)/(-55) = 1×86/55:
Answer: |x = 86/55
+37084 9(5-3x)=(1/2)(x+4) First, use distributive property
45 - 27x = .5x + 2 add 27x to both sides of the equation
45 = 27.5x + 2 SUbtract 2 from both sides
43 = 27.5 x divide both sides by 27.5
43/(27.5) = x And simplify if needed
86/55 = x 0r 1.5636
